Constructing directed strongly regular graphs by using semidirect products and semidihedral groups

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Piri S., ÖLMEZ O., ŞAHİN M.

Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, vol.72, no.1, pp.22-31, 2023 (ESCI)

• Publication Type: Article / Article
• Volume: 72 Issue: 1
• Publication Date: 2023
• Doi Number: 10.31801/cfsuasmas.1062880
• Journal Name: Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
• Journal Indexes: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
• Page Numbers: pp.22-31
• Keywords: Directed strongly regular graphs, semidirect products, semidihedral groups, Cayley graphs
• Ankara University Affiliated: Yes

Abstract

In this paper, directed strongly regular graphs (DSRGs) are constructed by using semidirect products. The orbit condition in [3] has been weakened and this gives rise to the construction of DSRGs. Moreover, a different construction is given for DSRG by using semidihedral groups.